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1680576813 = 32186730757
BaseRepresentation
bin110010000101011…
…1001000100101101
311100010022010222200
41210022321010231
511420211424223
6434432332113
756434444566
oct14412710455
94303263880
101680576813
11792707263
123aa9a4039
1320a238866
1411d2ab16d
159c818a43
hex642b912d

1680576813 has 6 divisors (see below), whose sum is σ = 2427499854. Its totient is φ = 1120384536.

The previous prime is 1680576787. The next prime is 1680576853. The reversal of 1680576813 is 3186750861.

1680576813 is a `hidden beast` number, since 1 + 68 + 0 + 576 + 8 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1003432329 + 677144484 = 31677^2 + 26022^2 .

It is not a de Polignac number, because 1680576813 - 214 = 1680560429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680576853) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 93365370 + ... + 93365387.

It is an arithmetic number, because the mean of its divisors is an integer number (404583309).

Almost surely, 21680576813 is an apocalyptic number.

It is an amenable number.

1680576813 is a deficient number, since it is larger than the sum of its proper divisors (746923041).

1680576813 is a wasteful number, since it uses less digits than its factorization.

1680576813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186730763 (or 186730760 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1680576813 is about 40994.8388580807. The cubic root of 1680576813 is about 1188.9204278202.

The spelling of 1680576813 in words is "one billion, six hundred eighty million, five hundred seventy-six thousand, eight hundred thirteen".

Divisors: 1 3 9 186730757 560192271 1680576813